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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Example 8 If A = [■8(8&0@4&−2@3&6)] and B = [■8(2&−2@4&2@−5&1)] then find the matrix X, such that 2A + 3X = 5B. Given that 2A + 3X = 5B Putting values 2 [■8(𝟖& 𝟎@𝟒&−𝟐@𝟑& 𝟔)] + 3X = 5 [■8( 𝟐&−𝟐@ 𝟒& 𝟐@−𝟓& 𝟏)] [■8(8 × 2 & 0 × 2@4 × 2&−2 × 2@3 × 2& 6 × 2)] + 3X = [■8( 2 × 5 &−2 × 5@ 4 × 5& 2 × 5@−5 × 5& 1 × 5)] [■8(16& 0@8& −4@6& 12)] + 3X = [■8( 10&−10@ 20& 10@−25& 5)] 3X = [■8(𝟏𝟎&−𝟏𝟎@𝟐𝟎&𝟏𝟎@−𝟐𝟓&𝟓)] – [■8(𝟏𝟔& 𝟎@𝟖&−𝟒@𝟔&𝟏𝟐)] 3X = [■8( 10−16&−10−0@ 20−8&10−(−4)@−25−6& 5−12)] 3X = [■8( −𝟔&−𝟏𝟎@ 𝟏𝟐& 𝟏𝟒@−𝟑𝟏& −𝟕)] X = 1/3 [■8( −6&−10@ 12& 14@−31& −7)] X = [■8((−6)/3&(−10)/3@(−12)/3&14/3@(−31)/3&(−7)/3)] X = [■8(−𝟐&(−𝟏𝟎)/𝟑@𝟒&𝟏𝟒/𝟑@(−𝟑𝟏)/𝟑&(−𝟕)/𝟑)] Hence, X = [■8(−2&(−10)/3@4&14/3@(−31)/3&(−7)/3)]

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.